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mart [117]
3 years ago
7

Question 11

Mathematics
1 answer:
dem82 [27]3 years ago
3 0

Answer:

There were 49 questions on this Geometry test.

Step-by-step explanation:

You can start by setting up a proportion:

x = total number of questions on Geometry test

\frac{37}{x} = \frac{75.51}{100}

Now, to solve for x, cross multiply:

75.51x = 3700

Finally, isolate x and solve:

x = 49.0001324328

This is very close to 49.

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I have no idea how to even begin with this
Leviafan [203]
We have two similar triangles, the one as a whole and the one inside of it. To calculate the height of the flagpole we can set up a proportion. First calculate the length of the base of the smaller triangle.

16.60 - 12.45 = 4.15m

The height is 1.65m, set up a proportion:

\sf\dfrac{1.65}{4.15}=\dfrac{x}{16.60}

Cross multiply:

\sf 27.39=4.15x

Divide 4.15 to both sides:

\sf x=\boxed{\sf 6.6m}

So the height of the flagpole is 6.6 meters tall.

5 0
3 years ago
511 ÷ 7 pls show how you got it
belka [17]

Answer:

Step-by-step explanation:511÷7

Answer is 73

Hope it's helps you

3 0
3 years ago
What is the average of 66 and 149.
Minchanka [31]
66 + 149 = 215
215/2 = 107.5
107.5 is the average.
5 0
3 years ago
Read 2 more answers
Please simplify the expression.
IRINA_888 [86]

Answer:

1) 15a - 15c + 3

2) -7n + 31 + 13m + 7p  or  13m - 7n + 7p + 31

3) 44x + 6y + 3

4) 9m - 6n + 23

Step-by-step explanation:

1. Add like terms. 6a + 9a=15a. -8c - 7c=-15c

2. Add like terms. You can rearrange them in descending order based off of exponents and variables.

3. Multiply what's in parentheses first (distribute the 6). It should end up being (6y + 42x). Then you add like terms and put in descending order.

4. Distribute the (-3) to what in the parentheses. It should end up being (-6n + 15 - 3m). Then you add like terms and put the expression in descending order.

8 0
3 years ago
The graph of $y = ax^2 + bx + c$ is shown below. Find $a \cdot b \cdot c$. (The distance between the grid lines is one unit.)
Savatey [412]

Answer:

a\cdot b\cdot c=\frac{15}{4}

Step-by-step explanation:

Vertex is the minimum or maximum point of parabola

Vertex of parabola is (h,k)

Therefore, from given graph (-3,-2) is the lowest point.

Vertex of parabola is at (-3,-2).

Standard equation of parabola

y-k=a(x-h)^2

Substitute the values

y-(-2)=a(x-(-3))^2=a(x+3)^2

y+2=a(x+3)^2

(-1,0) lies on the parabola.

Therefore, it satisfied the equation of parabola.

0+2=a(-1+3)^2=4a

a=2/4=1/2

Now, using the value of a

y+2=1/2(x+3)^2=1/2(x^2+6x+9)

y+2=\frac{1}{2}x^2+3x+\frac{9}{2}

y=\frac{1}{2}x^2+3x+\frac{9}{2}-2

y=\frac{1}{2}x^2+3x+\frac{9-4}{2}

y=\frac{1}{2}x^2+3x+\frac{5}{2}

By comparing with

y=ax^2+bx+c

We get

a=\frac{1}{2}, b=3, c=5/2

a\cdot b\cdot c=\frac{1}{2}\times 3\times \frac{5}{2}

a\cdot b\cdot c=\frac{15}{4}

7 0
2 years ago
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